1 citations · 1 across the 5 of their papers we have counts for
5 papers
Construction of two-bubble solutions for the energy-critical NLS in dimension 6
Jacek Jendrej, Xuemei Li, Guixiang Xu
We construct pure two-bubble solutions for the energy-critical focusing nonlinear Schrödinger equation in space dimension . They are global in (at least) one time direction…
Approximate traveling waves for the focusing NLS with an external potential
Luke Baker, Xuemei Li, Jason Murphy
We construct approximate traveling wave solutions for the focusing cubic NLS perturbed by a rapidly decaying external potential. As an application, we demonstrate that there e…
Construction of two-bubble solutions for the energy-critical Hartree equation
Jacek Jendrej, Xuemei Li, Guixiang Xu
We construct a pure two-bubble solution for the focusing, energy-critical Hartree equation in space dimension . The constructed solution is spherically symmetric, global…
Global dynamics above the ground state for the energy-critical Hartree equation with radial data
Xuemei Li, Chenxi Liu, Guixiang Xu
Based on the concentration-compactness-rigidity argument in \cite{KenM:NLS,KenM:NLW} and the non-degeneracy of the ground state in \cite{LLTX:Nondeg,LLTX:g-Hart,LTX:Nondeg}, long t…
Dynamics of radial threshold solutions for generalized energy-critical Hartree equation
Xuemei Li, Chenxi Liu, Xingdong Tang +1
In this paper, we study long time dynamics of radial threshold solutions for the focusing, generalized energy-critical Hartree equation and classify all radial threshold solutions.…